CF766B Mahmoud and a Triangle
Description
Mahmoud has $ n $ line segments, the $ i $ -th of them has length $ a_{i} $ . Ehab challenged him to use exactly $ 3 $ line segments to form a non-degenerate triangle. Mahmoud doesn't accept challenges unless he is sure he can win, so he asked you to tell him if he should accept the challenge. Given the lengths of the line segments, check if he can choose exactly $ 3 $ of them to form a non-degenerate triangle.
Mahmoud should use exactly $ 3 $ line segments, he can't concatenate two line segments or change any length. A non-degenerate triangle is a triangle with positive area.
Input Format
The first line contains single integer $ n $ ( $ 3
Output Format
In the only line print "YES" if he can choose exactly three line segments and form a non-degenerate triangle with them, and "NO" otherwise.
Explanation/Hint
For the first example, he can use line segments with lengths $ 2 $ , $ 4 $ and $ 5 $ to form a non-degenerate triangle.